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Polynomial extra -3

Another additional question for the polynomial sprinters.

If \(p(x)\) is a polynomial with integer co-efficients and a,b and c are three distinct integers,then show that it is impossible to have \(p(a) = b\),\(p(b) = c\) and \(p(c) = a\).

Note by Eddie The Head
2 years, 11 months ago

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This is in the book by Arthur Engel :D Bogdan Simeonov · 2 years, 11 months ago

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@Bogdan Simeonov Oh...sorry...you're right............I actually had these copied in a notebook and hencd didn't underStAND Eddie The Head · 2 years, 11 months ago

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@Eddie The Head This is also a USAMO problem. Daniel Liu · 2 years, 11 months ago

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